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3 years ago

What is the vertex of f(×)=5×^2+20×-16

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

Answer: The vertex is ( -2, -36)

Step-by-step explanation:

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If x^2=20 what is the value of x will give brainliest for answer

Schach [20]

Answer:

x² - 20 = 0

Using the quadratic formula

$x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a}$

a = 1 b = 0 c = -20

So we have

$x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5}$

Hope this helps you.

8 0

3 years ago

Please tell me the answer and explain

k0ka [10]

Answer:

answer is

{X^2 + 4, X<2

{X + 4, X>2

Step-by-step explanation:

Because both solution set graph is at the begining hole at the value of X = 2 this means both sets doesn't contain 2.

7 0

2 years ago

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

7 0

3 years ago

Use determinants to find out if the matrix is invertible.

wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

$A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]$

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

$|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0$

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0

3 years ago

Pedro has been given two segments and the measure of an angle between them. He is trying to construct a congruent triangle. This

Snowcat [4.5K]

Answer:

Copy the second line segment with one endpoint at the same endpoint of the first line segment.

c is correct a is wrong

8 0

3 years ago

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